Polynomial Graphing and End Behavior Review

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = 3x² + 4x - 5

• Degree 2  (quadratic)
• Degree 3 (cubic)
• Degree 4 (quartic)
• Degree 5 (quintic)

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = -5x⁴ - 3x + 2

• Degree 2 (quadratic)
• Degree 3 (cubic)
• Degree 4 (quartic)
• Degree 5 (quintic)

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = -4x + 5x³ - 2x²

• Degree 2
• Degree 3
• Degree 4
• Degree 5

The leading coefficient is the coefficient of the largest degree monomial for the polynomial.
What is the leading coefficient for the polynomial f(x) = -3x² - 5x - 4

• The leading coefficient is 2
• The leading coefficient is -3
• The leading coefficient is -4
• The leading coefficient is -5

Tags

CCSS.HSA.APR.A.1

The leading coefficient is the coefficient of the largest degree monomial for the polynomial.
What is the leading coefficient for the polynomial f(x) = -5x + 2x³

• The leading coefficient is 2
• The leading coefficient is 3
• The leading coefficient is 4
• The leading coefficient is -5

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which equation MOST LIKELY matches the graph?

• $y=x^4-x^3+3x^2+2$

• $y=-x^4-x^3+3x^2+2$

• $y=x^4-x^3+3x^2-2$

• $y=-x^4-x^3+3x^2-2$

Tags

CCSS.HSA.APR.B.3

What is the end-behavior of the function $y=x^6-7x^5+7x-9$  ?

• as $x\rightarrow-\infty f\left(x\right)\rightarrow-\infty$ 
  as  $x\rightarrow\infty\ f\left(x\right)\rightarrow-\infty$  
  

• as $x\rightarrow-\infty\ f\left(x\right)\rightarrow-\infty$  
  as  $x\rightarrow\infty\ f\left(x\right)\rightarrow\infty$  

• as $x\rightarrow-\infty\ f\left(x\right)\rightarrow\infty$  
  as  $x\rightarrow\infty\ f\left(x\right)\rightarrow-\infty$  

• as  $x\rightarrow-\infty\ \ f\left(x\right)\rightarrow\infty$  
  as  $x\rightarrow\infty\ f\left(x\right)\rightarrow\infty$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the zeros:

• x=-2, x=-1, x=0
• x=-2, x=0
• x=-1, x=0, x=2
• x=-2, x=0, x=1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4